216/315 Simplified

Learn how to find what is 216/315 simplified as a fraction just in a few minutes. We have covered why the greatest common divisor or factorization is important to simplify 216/315 in simplest form.

To simplify 216/315 in its lowest terms, you must be familiar with either how to find the greatest common divisor or prime factors. Both of these methods are used to recognize if 216/315 can be reduced in simplest form. In this case, the greatest common divisor of 216 and 315 is 9. Dividing both the numerator and denominator by GCD, the fraction 216/315 becomes 24/35 which is the simplest form.

Simplify 216/315 as a Fraction
Using Factorization:
216/315 = (?)
216/315 = (2 x 2 x 2 x 3 x 3 x 3)/(3 x 3 x 5 x 7)      //write 216/315 in terms of factors
= 24/35
216/315 = 24/35
216/315 simplified is 24/35

Using GCD:
216/315 = (?)
GCD of 216 and 315 is 9.
216/315 = (216/9)/(315/9)
= 24/35
216/315 = 24/35
216/315 simplified is 24/35 in fraction form
where,
216/315 is the given fraction to be simplified,
24/35 is the lowest term of 216/315.

Notes: Simplify 216/315 in lowest terms
1. 216/315 can be simplified only if the GCD of numerator and denominator is greater than 1. In this case, the GCD of 216 and 315 is 9 which is the greatest factor that evenly divides both numerator and denominator, so this fraction 216/315 can be represented in its reduced form.
2. On the other hand, you can also reduce 216/315 in simplest form by using the factorization method. In this case, the numerator and denominator of fraction should be written in the form of prime factors, so the fraction 216/315 becomes (2 x 2 x 2 x 3 x 3 x 3)/(3 x 3 x 5 x 7). Now you can check and cancel the factors if any factors of numerator and denominator cancel each other to simplify 216/315 in its lowest terms.

step 1 Observe the input parameters and what to be found:
Input values:
Fraction = 216/315

what to be found:
216/315 = ?
Simplify 216/315 in lowest terms.

step 2 Find the prime factors of the numerator of given fraction 216/315.
Prime factors of 216 = 2 x 2 x 2 x 3 x 3 x 3

step 3 Find the prime factors of the denominator of given fraction 216/315.
Prime factors of 315 = 3 x 3 x 5 x 7

step 4 Rewrite the fraction 216/315 in the form of prime factors as like the below:
216/315= (2 x 2 x 2 x 3 x 3 x 3) / (3 x 3 x 5 x 7)

step 5 Check and reduce the factors of 216 and 315 if any factors in the numerator and denominator cancel each other:
= (2 x 2 x 2 x 3 x 3 x 3) / (3 x 3 x 5 x 7)
= (2 x 2 x 2 x 3)/( 5 x 7)
216/315 = 24/35

Hence,
216/315 in simplest form is 24/35.

Representing fraction 216/315 in lowest terms is a better way than its original form to easily recognize the fraction or use in mathematical operations. Simplify fraction involves finding the greatest common factor or factorization. Recognizing the GCD or prime factors of numerator and denominator of a fraction is key when you start reducing fractions like 216/315 in its lowest terms.